A generalized approximation for the meshfree analysis of solids
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Publication:3018007
DOI10.1002/nme.2991zbMath1217.74150OpenAlexW2124251016MaRDI QIDQ3018007
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Publication date: 20 July 2011
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.2991
basis functionmeshfree methodnon-convex approximationconvex approximationKronecker-delta propertyroot-finding scheme
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Cites Work
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- A Mathematical Theory of Communication
- Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation
- Admissible approximations for essential boundary conditions in the reproducing kernel particle method
- Meshless methods: An overview and recent developments
- Reproducing kernel particle methods for large deformation analysis of nonlinear structures
- Enforcement of essential boundary conditions in meshless approximations using finite elements
- Existence and stability of a discrete probability distribution by maximum entropy approach
- New boundary condition treatments in meshfree computation of contact problems
- A coupled finite element -- element-free Galerkin method
- A new implementation of the element free Galerkin method
- The non-Sibsonian interpolation: A new method of interpolation of the value of a function on an arbitrary set of points
- Information Theory and Statistical Mechanics
- Coupling of mesh-free methods with finite elements: basic concepts and test results
- Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
- Weighted radial basis collocation method for boundary value problems
- Overview and construction of meshfree basis functions: from moving least squares to entropy approximants
- Reproducing kernel enhanced local radial basis collocation method
- Smooth, second order, non-negative meshfree approximants selected by maximum entropy
- Surfaces Generated by Moving Least Squares Methods
- Element‐free Galerkin methods
- THE PARTITION OF UNITY METHOD
- An improved element free Galerkin formulation
- Multivariate Interpolation and Conditionally Positive Definite Functions. II
- Moving kriging interpolation and element-free Galerkin method
- Reproducing kernel particle methods
- Construction of polygonal interpolants: a maximum entropy approach
- Error analysis of the reproducing kernel particle method